151538860800 has 432 divisors, whose sum is σ = 557048131360. Its totient is φ = 40310784000.

The previous prime is 151538860771. The next prime is 151538860813. The reversal of 151538860800 is 8068835151.

151538860800 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 38 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93483990 + ... + 93485610.

Almost surely, 2^151538860800 is an apocalyptic number.

151538860800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151538860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278524065680).

151538860800 is an abundant number, since it is smaller than the sum of its proper divisors (405509270560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151538860800 is a wasteful number, since it uses less digits than its factorization.

151538860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 151538860800 in words is "one hundred fifty-one billion, five hundred thirty-eight million, eight hundred sixty thousand, eight hundred".